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# Prove : manipulate LHS and RHS (1/cos(x) - tan(x))^2 = 1-sin(x)/1+sin(x)?

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- 7 years ago
(1/cos(x) - tan(x))^2 =>

(1/cos(x) - sin(x)/cos(x))^2 =>

((1 - sin(x))) / cos(x))^2 =>

(1 - sin(x))^2 / cos(x)^2 =>

(1 - sin(x))^2 / (1 - sin(x)^2) =>

(1 - sin(x))^2 / ((1 - sin(x)) * (1 + sin(x))) =>

(1 - sin(x)) / (1 + sin(x))

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